document.write( "Question 1010510: Eight roses and 9 carnations cost $3.35. At the same prices, one dozen roses and 5 carnations cost $3,75. Find the cost of a rose and the cost of a carnation. \n" ); document.write( "
Algebra.Com's Answer #625975 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call their prices, r and c. Then we have \n" ); document.write( "8r + 9c = 335 (work in cents) and \n" ); document.write( "12r + 5c = 375 \n" ); document.write( "Now multiply the top one by 3 and the bottom by 2 and subtract them...we get... \n" ); document.write( "24r + 27c = 1005 \n" ); document.write( "-(24r + 10c = 750) \n" ); document.write( "------------------- \n" ); document.write( "17c = 255 \n" ); document.write( "c = 15 cents per carnation \n" ); document.write( "so that \n" ); document.write( "8r + 9(15) = 335 \n" ); document.write( "8r + 135 = 335 \n" ); document.write( "8r = 200 \n" ); document.write( "r = 25 cents per rose \n" ); document.write( " |